SOLUTION: find all zeros of the polynomial f(x)=x^3+9x^2-36x-324 and determine the multiplicity of each?

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Question 821292: find all zeros of the polynomial f(x)=x^3+9x^2-36x-324 and determine the multiplicity of each?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x)=x^3+9x^2-36x-324 

f(x)=x^2(x+9)-36(x+9) ***

f(x) = (x^2-36)(x+9)

If f(x) = (x-6)(x+6)(x+9)= 0

     x is -9, -6,  6